Traversable wormholes in $$R+\alpha R^n$$ gravity

Abstract

AbstractIn this work, the study of traversable wormholes in f(R) gravity with the function $$f(R)=R+\alpha R^n$$f(R)=R+αRn, where $$\alpha $$α and n are arbitrary constants, is taken into account. The shape function $$b(r)=\frac{r}{\exp (r-r_0)}$$b(r)=rexp(r-r0), proposed by Samanta et al. (arXiv:1811.06834v1 [gr-qc], 2018), is considered. The energy conditions with respect to both constant and variable redshift functions are discussed and the existence of wormhole solutions without presence of exotic matter is investigated.